Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (3): 819-829.doi: 10.1016/S0252-9602(10)60081-1

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MANIFOLDS WITH POINTWISE PINCHED RICCI CURVATURE

GU Hui-Ling   

  1. Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China
  • Received:2007-09-05 Revised:2008-04-25 Online:2010-05-20 Published:2010-05-20
  • Supported by:

    The author was supported in part by Young Faculty Career Start Program (34000-3171917), NSFC (10901165), NSFGD (9451027501002600), and China Postdoctoral Science Foundation (20090460066)

Abstract:

In this article, the author proves a compactness result about Riemannian manifolds with an arbitrary pointwisely pinched Ricci curvature tensor.

Key words: Ricci pinching condition, Yamabe flow, asymptotic behavior

CLC Number: 

  • 53C20
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